// Numbas version: exam_results_page_options {"name": "Vicky's copy of Sketching graphs: sketch 1/x", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "name": "Vicky's copy of Sketching graphs: sketch 1/x", "advice": "

(i) {answer(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3],x[4],y[4],x[5],y[5],x[6],y[6],x[7],y[7],0)}

", "variables": {"x": {"definition": "[1,2,3,1/2,\n random([1/3,1/4,1/5]),\n -1,\n random([-2,-3,-4]),\n random([-1/2,-1/3,-1/4,-1/5])]", "templateType": "anything", "name": "x", "group": "Ungrouped variables", "description": "

The y-intercept.

"}, "y": {"definition": "\n[1/(x[0]),\n 1/(x[1]),\n 1/(x[2]),\n 1/(x[3]),\n 1/(x[4]),\n 1/(x[5]),\n 1/(x[6]),\n 1/(x[7])]", "templateType": "anything", "name": "y", "group": "Ungrouped variables", "description": ""}}, "variable_groups": [], "statement": "

This is a non-calculator question.

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{dragpoint()}

\n

We want to sketch a graph of the function $f(x) = \\frac{1}{x}$.  We will do this be plotting several points, and then seeing the overall pattern that emerges.

\n

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(i) By filling in a table like the one below, drag the points A to H to the correct location.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
 Point A B C D E F G H $x$ $\\simplify[fractionNumbers]{{x[0]}}$ $\\simplify[fractionNumbers]{{x[1]}}$ $\\simplify[fractionNumbers]{{x[2]}}$ $\\simplify[fractionNumbers]{{x[3]}}$ $\\simplify[fractionNumbers]{{x[4]}}$ $\\simplify[fractionNumbers]{{x[5]}}$ $\\simplify[fractionNumbers]{{x[6]}}$ $\\simplify[fractionNumbers]{{x[7]}}$ $f(x)$
\n

\n

\n

(Note, to be marked correctly, you only need to move the points to within 0.04 of the exact location.)

\n

\n

\n

\n

(ii) Hence, select the graph of $f(x)=\\frac{1}{x}$ from below:

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[[8]]

\n

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{answer(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3],x[4],y[4],x[5],y[5],x[6],y[6],x[7],y[7],2)}

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{answer(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3],x[4],y[4],x[5],y[5],x[6],y[6],x[7],y[7],3)}

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Student sketches 1/x, by plotting several points and then selecting the graph from a list

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